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Journal Article

#### Astrometric Effects of Gravitational Wave Backgrounds with non-Luminal Propagation Speeds

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##### Fulltext (public)

1911.10356.pdf

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##### Citation

Mihaylov, D., Moore, C. J., Gair, J., Lasenby, A., & Gilmore, G. (2020). Astrometric
Effects of Gravitational Wave Backgrounds with non-Luminal Propagation Speeds.* Physical Review D,*
*101 *(2): 024038. doi:10.1103/PhysRevD.101.024038.

Cite as: http://hdl.handle.net/21.11116/0000-0005-A5E8-B

##### Abstract

A passing gravitational wave causes a deflection in the apparent astrometric
positions of distant stars. The effect of the speed of the gravitational wave
on this astrometric shift is discussed. A stochastic background of
gravitational waves would result in a pattern of astrometric deflections which
are correlated on large angular scales. These correlations are quantified and
investigated for backgrounds of gravitational waves with sub- and super-luminal
group velocities. The statistical properties of the correlations are depicted
in two equivalent and related ways: as correlation curves and as angular power
spectra. Sub-(super-)luminal gravitational wave backgrounds have the effect of
enhancing (suppressing) the power in low-order angular modes. Analytical
representations of the redshift-redshift and redshift-astrometry correlations
are also derived. The potential for using this effect for constraining the
speed of gravity is discussed.